Algebraic Expressions

Add/ Subtract Algebraic Expressions

100

Add the Algebraic Expressions.                               (2x + 3) + ( 9x + 4)

11x + 12

200

Add the Algebraic Expressions.                             (67x + 41) + ( 21x + 1)

88x + 42

300

Add the Algebraic Expressions.                               (9x + -9) + ( -3x + 4) 

6x + -5

400

Subtract the Algebraic Expression.                         (-2x + -3) - ( -4x + -2)

2x - 1

500

Subtract the Algebraic Expression.                          (6x + 4) - 2( 3x + 4)

-4

Combine Like Terms

100

Combine Like Terms:                     10x + 12x

22x

200

Combine Like Terms:                  -40x + -90x

-130x

300

Combine Like Terms:             -19x + 20y + -5x + -10y

-24x + 10y

400

Combine Like Terms:                19x + 29x² - 90 + 12x

29x² + 31x - 90

500

Combine Like Terms:          -9x² + 13x + 24x² + -14x

15x² + -1x

Distributive Property

100

Use the distributive property so simplify the expression.        5 ( g + 9) + g

6g + 45

200

Use the distributive property so simplify the expression.       5 - 10( g -  9)

-10g + 95

300

Use the distributive property so simplify the expression.       k - 2( 2k + 9)

-3k - 18

400

(3x² + 4x - 2y + 6) + (-7x² - 6x + 2y - 10)

-4x² -2x -4

500

Subtract                                 (6x + 2) from (3x - 9)

-3x - 11

Distributive Property

100

Use the distributive property so simplify the expression.      -2 ( k + -9)

-2k + 18

200

Use the distributive property so simplify the expression.     -7 ( 7a + 6)

-49a + -42

300

Use the distributive property so simplify the expression.    -4 ( 3a + 5)

-12a + -20

400

Use the distributive property so simplify the expression.     -6x ( 7y - 4)

-42xy + 24x

500

Use the distributive property to simplify the expression.    -8m(-2n - 3p)

16mn + 24mp

Combine Like Terms/ Distribute

100

Simplify the expression.                4 + 9 ( a + 10)

4 + 9a + 90= 94 + 9a

200

Simplify the expression.              4a + -5 ( a + 10)

4a + -5a + -50= -1a+ -50= -a + -50

300

Simplify the expression.         -9 + 9 ( -a + -10)

-9 + -9a + -90= -99 + -9a

400

Simplify the expression.           9 + 2k + 9 (4k - 2)

9 + 2k + 36k + -18= -9+ 38k

500

Simplify the expression.        -4 + -9k + 2 ( -2k + 4)

-4 + -9k + -4k + 8= -13k +4